André Gama Oliveira's Annual Report

André Gama Oliveira's Annual Report

Year: 

2015

Brief description of the research activities: 

Study of geometric, topological and algebraic structures of moduli spaces of G-Higgs bundles over compact Riemann surfaces, with G being a real reductive Lie group.
More precisely, the following subjects were studied:

- connected components of the moduli space of SO(p,q)-Higgs bundles;

- Hitchin system for the Langlands dual groups SL(n,C) and PGL(n,C) in the parabolic setting.

- moduli spaces of symplectic pairs.

Talks / Seminars / Courses : 

Communications in international conferences

Title:
Geometry of quadratic pairs moduli spaces
Name of the event:
School and International Conference on Geometry and Quantization -- GEOQUANT 2015
Speakers
André Gama Oliveira
Talk:
Invited talk
Date:
14.09.2015
Host institution:
ICMAT
Country:
Spain
Location / City:
Madrid
Title:
Geometry of quadratic pairs moduli spaces
Name of the event:
Conference on the Fifty Years of the Narasimhan-Seshadri Theorem
Speakers
André Gama Oliveira
Talk:
Invited talk
Date:
06.10.2015
Host institution:
Chennai Mathematical Institute
Country:
India
Location / City:
Chennai

Seminars

Title:
A tiny bit of the world of Higgs bundles
Speakers
André Gama Oliveira
Date:
18.12.2015
Host institution:
CMUP, Universidade do Porto
Country:
Portugal
Location / City:
Porto

Organization of regular seminars: 

Co-organizer (with Agnès Gadbled) of the regular seminars of CMUP's Geometry Group, since September of 2015.